一类高维非线性椭圆型方程衰减正整解的存在唯一性  

The Existence and Uniqueness of Decaying Positive Entire Solutions to a Class of Nonlinear Elliptic Equations in Higher Dimension

作　　者：许兴业[1] 

机构地区：[1]广东第二师范学院数学系,广东广州510303

出　　处：《广东教育学院学报》2010年第5期31-39,共9页Journal of Guangdong Education Institute

基　　金：广东第二师范学院教授博士专项经费资助项目

摘　　要：用构造方程弱上解与弱下解,然后用推广的上、下解方法研究一类高维非线性椭圆型方程衰减正整解的存在唯一性.This paper studies the existence and uniqueness of decaying positive entire solutions to a class of nonlinear elliptic equations in higher dimension by constructing the weak supersolution and subsolution of equation and making use of the generalized supersolution and subsolution method.

关 键 词：弱上解 弱下解 单调收敛定理 局部Hlder连续 局部Lipschitz连续 强极大值原理 

分 类 号：O175.25[理学—数学]